Distance Formula Word Problem

On a map, Julie’s house is located at (−2, 5) and Jimmy’s house is at (6, −2). How long is the direct path from Julie’s house to Jimmy’s house?

• 10.63

• 15

• 12.7

• 113

On a map’s coordinate grid, Walt City is located at (−1, −3) and Koshville is located at (4, 9). How long is the train’s route if it travels along a straight line from Walt City to Koshville? ( One map unit equals one mile.)

• 11.54

• 18.2

• 12

• 13

The Riley and Brown families decided to go to a concert together. The Riley’s live 5 miles west and 2 miles north of the concert. The Browns live 3 miles east and 7 miles south. How far apart do they live?

• 145

• 13.15

• 12.04

• 17.05

A command center learns of an enemy patrol is located 7 miles east and 11 miles north of their position. If the commands attack helicopter is located 1 mile east and 3 miles north of the center. What is the shortest distance the helicopter can travel to get to the enemy patrol?

• 5.29

• 10

• 100

• 28

What is the distance between the points (–20,20) and (20,–20)?

• 0

• 20

• 28.3

• 56.6

Find the distance between (-4, 5) and (7, 18).

• 15.96

• 16.08

• 16.23

• 17.03

Coach Alvarado drew his football team’s next play on the coordinate grid. He placed Kaleem at (1, 3). He will be passing the ball to Jeremy at (−6, 3). What is the distance, of the pass from Kaleem to Jeremy?

• 7

• 49

• 7.03

• 50

Fred is at Bojangles which is 2 miles west and 4 miles north of the school. Barney is at Pelicans which is 4 miles east and six miles south of the school. How far apart are Fred and Barney?

• 11.66

• 136

• 64

• 8.25

Gene has a 12 foot ladder. Safety instructions recommend that the base of the ladder must be 4 feet from the base of the wall. How far up the wall will the ladder reach? Round to the nearest tenth if needed.

• The ladder will reach about 11.4 feet up the wall.

• The ladder will reach about 11.3 feet up the wall.

• The ladder will reach about 12.6 feet up the wall.

• The ladder will reach about 11.9 feet up the wall.

Owen walks to school each day. He travels 12 blocks west and then 9 blocks north. If he could walk on a path directly from his house to school, what would be the length of his walk in blocks?

• He would walk 14 blocks.

• He would walk 18 blocks.

• He would walk 23 blocks.

• He would walk 15 blocks.